Atkin-Lehner |
3+ 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
120099f |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
865073097 = 32 · 76 · 19 · 43 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- -4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-785,-8674] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:13:1] |
Generators of the group modulo torsion |
j |
454756609/7353 |
j-invariant |
L |
1.7848100733993 |
L(r)(E,1)/r! |
Ω |
0.90282789200067 |
Real period |
R |
1.9769107311167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995817576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2451h1 |
Quadratic twists by: -7 |